2024 : 5 : 29

Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Multiple Solutions to a Caffarelli–Kohn–Nirenberg-Type Equation in Finsler Manifold
Type
JournalPaper
Keywords
Caffarelli–Kohn–Nirenberg-type equation  Finsler manifold  Symmetric mountain pass theorem  Ricci curvature  Weighted Sobolev space
Year
2019
Journal Iranian Journal of Science and Technology, Transaction A: Science
DOI
Researchers Amir Mohammad Moafi ، Mohsen Alimohammady

Abstract

This paper deals with the existence of infinitely many solutions for a generalized form of Caffarelli–Kohn–Nirenberg-type equation in a Finsler manifold, with asymptotically linear term at infinity. This kind of nonlinear term creates some difficulties in the application of the symmetric mountain pass lemma because of the lack of Ambrosetti–Rabinowitz-type condition; hence, it is difficult to verify the classical (P S)c condition. To overcome this difficulty, we use an equivalent version of Cerami’s condition (C)c.